JEE 2023 — Mathematics PYQ

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Question

JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

The $8^{\text{th}}$ common term of the series $S_1 = 3 + 7 + 11 + 15 + 19 + \dots$ $S_2 = 1 + 6 + 11 + 16 + 21 + \dots$ is ________.

Choose the correct answer:

Explanation

Solution:

Pehla Common Term ( $a$ ):

Dono series ko dekhne par pehla common term $11$ hai.

$a = 11$
Common Difference ( $d$ ):
- $S_1$ ka difference $d_1 = 4$
- $S_2$ ka difference $d_2 = 5$
  
  Common terms ki nayi series ka difference $d = \text{LCM}(4, 5) = 20$ .
$8^{\text{th}}$ Common Term ( $T_8$ ):

Arithmetic Progression (AP) ka formula use karein:

$T_n = a + (n - 1)d$

$T_8 = 11 + (8 - 1) \times 20$

$T_8 = 11 + 7 \times 20 = 11 + 140 = 151$

Jawab: 151

Choose the correct answer:

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